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Simplifying ln(4x) = ln(4x + 7) Remove parenthesis around (4x) ln * 4x = ln(4x + 7) Reorder the terms for easier multiplication: 4ln * x = ln(4x + 7) Multiply ln * x 4lnx = ln(4x + 7) Reorder the terms: 4lnx = ln(7 + 4x) 4lnx = (7 * ln + 4x * ln) 4lnx = (7ln + 4lnx) Add '-4lnx' to each side of the equation. 4lnx + -4lnx = 7ln + 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 0 = 7ln + 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 0 = 7ln + 0 0 = 7ln Solving 0 = 7ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7ln' to each side of the equation. 0 + -7ln = 7ln + -7ln Remove the zero: -7ln = 7ln + -7ln Combine like terms: 7ln + -7ln = 0 -7ln = 0 Divide each side by '-7'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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